Answer to Question #345872 in Physics for Thel

Question #345872

Suppose a spaceship is approaching the Earth at half the speed of light and shoots a canister at a speed of 0.750c.



a). At what velocity will an Earth-bound observer see the canister if it is shot directly towards the Earth?



b). If it shot directly away from earth?

1
Expert's answer
2022-05-30T15:18:41-0400

(a)

"V=\\frac{u+v}{1+\\frac{uv}{c^2}}"

"V=\\frac{0.75c+0.5c}{1+\\frac{0.75c*0.5c}{c^2}}=0.91c"

(b)

"V=\\frac{u-v}{1-\\frac{uv}{c^2}}"

"V=\\frac{0.75c-0.5c}{1-\\frac{0.75c*0.5c}{c^2}}=0.4c"


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